Semeton Mathematics Journal

Trends Analysis Between The Relationship Rice Harvest and Rice Productivity in Nusa Tenggara Province

2025-03-19T07:11:34+00:00

This study aims to analyze the monthly trends in rice productivity and harvested area in West Nusa Tenggara (NTB) Province in 2023 and identify the relationship between these two variables. The data used in this research were obtained through a rice crop cutting survey based on the Area Sample Frame (KSA) method conducted by the Central Statistics Agency. Productivity was calculated based on the amount of yield produced per unit area of land each month. The results showed that rice productivity in NTB Province fluctuated, with the highest productivity recorded in January at 56.54 quintals per hectare (ku/ha) and the lowest in June at 48.40 ku/ha. Similarly, the harvested area varied, with the largest area recorded in March at 73,766 hectares and the smallest in December at 5,382 hectares. The analysis of the relationship between harvested area and rice productivity revealed an inverse pattern, where an increase in harvested area was not always accompanied by an increase in productivity. Therefore, rice productivity and harvested area are more influenced by external factors and do not directly affect each other.

Analisis Pola Periodik Harga Saham Coca-Cola Menggunakan Deret Fourier dalam Pendekatan Regresi Nonparametrik

2025-03-19T07:16:47+00:00

This study aims to identify periodic patterns and predict the movement of Coca-Cola (KO) stock prices using Fourier series in a linear regression model. The data utilized includes daily closing stock prices over the 2014-2024 period. A Fourier model with 15 harmonic components was chosen to optimize the balance between prediction accuracy and the risk of overfitting. The analysis results showed an R-squared value of 0.9174, indicating a high capability of capturing stock price variations. The detected price fluctuations reveal significant seasonal cycles and periodic trends. The price forecast for the 2024-2029 period indicates potential higher volatility, influenced by consumer demand dynamics, global economic uncertainty, product innovation, as well as geopolitical factors and climate change. These findings provide insights for investors to develop investment strategies based on the detected stock price fluctuation patterns.

Pengendalian Kualitas Produk Spon Kasur Menggunakan Exponentially Weighted Moving Average (Ewma) pada UD. Celcius Gegutu Timur

2025-03-19T07:23:16+00:00

Problems that arise at UD. Celsius, one of the manufacturers of sponge mattress products in the East Gegutu area, said that differences in product weight will cause a decrease in product quality. Consequently, here, quality is of primary concern. Because the Exponentially Weighted Moving Average (EWMA) control chart can detect small average changes, this study aims to examine the quality control of mattress sponge products using this chart. The information used relates to the mass of a mattress sponge product measuring 160×120×25 cm, with four variables, namely X_1,X_2,X_3 and X_4, Quality control in this research uses a weighting factor value of  = 0.4. Based on the research results, the assumption that is not fulfilled is the assumption of data randomness, so that the EWMA control chart pattern formed shows that the data is not statistically controlled. However, there is no data that is out of control, so in this study the Average Run Length (ARL) value of 27,204 indicates that there will be data that is first out of control, namely the 27th or 28th data. And the results of the capability analysis of the process show that the production process is not capable because the values of Cp=0.3432 and Cpk=0.3373 where the values of Cp,Cpk<1, this is due to the influencing factors, namely man, machine, material and method factors.

Pengaruh metode pembelajaran project based learning terhadap motivasi belajar mahasiswa prodi matematika FMIPA Universitas Mataram

2025-03-17T19:15:01+00:00

This study evaluates the impact of the Project-Based Learning (PBL) method on the learning motivation of Mathematics students at FMIPA Universitas Mataram. The primary objective is to assess the effectiveness of PBL in enhancing learning motivation and to explore the influencing factors, namely Facilities (X₁), Lecturer Role (X₂), and Skill Development (X₃). This research employs a quantitative descriptive method, with a population of 257 Mathematics students from FMIPA Universitas Mataram, covering the 2020–2023 cohorts. The sample is determined using the Stratified Random Sampling method. Data were collected through research instruments that had been tested for validity and reliability. Data analysis was conducted using descriptive analysis (pie charts, bar charts, histograms, and scatter plots) and multiple linear regression to identify the influence of the independent variables (X₁, X₂, X₃) on (Y). The findings indicate that 63.8% of the variation in learning motivation (Y) can be explained by Facilities (X₁), Lecturer Role (X₂), and Skill Development (X₃). Both simultaneous and partial tests confirm that all independent variables contribute significantly to students’ learning motivation. These results suggest that the PBL method is not only effective in enhancing learning motivation but also holds potential as an innovative teaching strategy in higher education.

Eksplorasi Modul Noetherian

2025-03-19T07:13:14+00:00

Noetherian Modules are a fundamental concept in algebra, providing a structured framework for studying algebraic structures. These modules satisfy the ascending chain condition (ACC), which ensures that every ascending chain of submodules terminates after a finite number of steps. This article explores the definition, key properties, and applications of Noetherian modules in ring theory, homological algebra, and algebraic topology. Through this discussion, it is demonstrated that Noetherian Modules play a crucial role in analyzing ideal structures and more complex algebraic representations. The article also provides concrete examples to illustrate the properties and significance of Noetherian modules across various branches of algebra.

Sejarah dan Definisi Klasik Fungsi Konveks

2025-04-15T22:55:43+01:00

The concept of convexity is a fundamental pillar in optimization theory and inequality analysis. This article aims to review the history and classical definition of convex functions through a literature-based approach. The literature reviewed includes works by Jensen [1], Rockafellar [2], Boyd & Vandenberghe [3], and Niculescu & Persson [4]. The analysis highlights the connection between the geometric definition of convex functions and Jensen's inequality, which demonstrates the consistency of inequality structures in both deterministic and probabilistic contexts. This study emphasizes that Jensen's inequality not only extends the concept of convex functions in probability theory but also strengthens the understanding of its geometric definition in classical analysis. This article is intended to serve as an introduction for students and researchers wishing to comprehend the foundational structure of convexity in modern mathematical theory.

Analisis Submodul dan Sifat Keprimaan dalam Ruang Modul

2025-03-19T07:12:47+00:00

This study analyzes prime submodules and primality properties in module spaces, fundamental topics in abstract algebra. The primary objective is to determine conditions for prime submodule formation in commutative rings and to examine their relationship with nearly prime submodules. The approach employed involves the decomposition of modules in principal ideal domains, with particular attention given to the concepts of annihilators, submodule orders, and the characteristics of torsion-free quotient modules. The findings indicate that nearly prime submodules can only be regarded as prime submodules in free modules. Furthermore, the module decomposition approach proves effective for gaining a comprehensive understanding of module structures. The concepts of annihilators and submodule orders provide profound insights into the relationships between module elements and ring elements. This study offers significant theoretical contributions to abstract algebra and establishes a foundation for further developments, particularly in applications related to number theory and cryptography.